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Finding the Fourth Proportional to 11,605.21, 16,012.53 and 7,835.38

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Solution

The fourth proportional to 11,605.21, 16,012.53 and 7,835.38 is: 10,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.21 : 16,012.53 = 7,835.38 : x
  2. Step 2: Convert to fraction form
    11,605.21/16,012.53 = 7,835.38/x
  3. Step 3: Cross multiply
    11,605.21x = 16,012.53 × 7,835.38
  4. Step 4: Simplify right side
    11,605.21x = 125,464,257.31
  5. Step 5: Solve for x
    x = 125,464,257.31/11,605.21
  6. Step 6: Final answer
    x = 10,811.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.